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Simplifying 14 + -1(5m + 7) = 5 + 2m + -12 Reorder the terms: 14 + -1(7 + 5m) = 5 + 2m + -12 14 + (7 * -1 + 5m * -1) = 5 + 2m + -12 14 + (-7 + -5m) = 5 + 2m + -12 Combine like terms: 14 + -7 = 7 7 + -5m = 5 + 2m + -12 Reorder the terms: 7 + -5m = 5 + -12 + 2m Combine like terms: 5 + -12 = -7 7 + -5m = -7 + 2m Solving 7 + -5m = -7 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 7 + -5m + -2m = -7 + 2m + -2m Combine like terms: -5m + -2m = -7m 7 + -7m = -7 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + -7m = -7 + 0 7 + -7m = -7 Add '-7' to each side of the equation. 7 + -7 + -7m = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -7m = -7 + -7 -7m = -7 + -7 Combine like terms: -7 + -7 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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